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Finding the Fourth Proportional to 32,728, 45,164.64 and 17,824

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Solution

The fourth proportional to 32,728, 45,164.64 and 17,824 is: 24,597.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,728 : 45,164.64 = 17,824 : x
  2. Step 2: Convert to fraction form
    32,728/45,164.64 = 17,824/x
  3. Step 3: Cross multiply
    32,728x = 45,164.64 × 17,824
  4. Step 4: Simplify right side
    32,728x = 805,014,543.36
  5. Step 5: Solve for x
    x = 805,014,543.36/32,728
  6. Step 6: Final answer
    x = 24,597.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.